Thanks for all of the great suggestions.
A complicating issue, here, is that my small building is already glued together, and the hard plastic is pretty flimsy, so if I put much pressure at all on the outside wall with a drill, etc., the wall wants to bow inward and then break the building apart a the glued corners. If you squeeze the sides now, you can hear that "crack" sound.
I only paid about $4.00 for this little assembled building, so a total loss of it would be a small loss, but it is just about the perfect size I need for my project.
I have a brand new set of forsners that I have never used, but the package says to never ever use them except in a drill press. If I put the little building under the press, turned on its side, I would have to hold it in place, and I am pretty terrified of putting my hands anywhere under a drill press that has a forsner bit in it. You are talking about losing a finger.
I guess that I can try to tape the building down tight on the press plate, and keep my hands away. And then use the slightest pressure possible.
My drill press in an el-cheapo Harbor Freight, with only two speeds, and you have to move the belt to even do that.
I could also put a small hole saw in the drill press, and run the drill in reverse, and try that. I would still have to tape it down,. and use really light pressure.
Since my Dewalt hand drill has a really slow speed setting, I guess that I am pushed into using that plus a hole saw, running in reverse.
My drill bits are carpenter bits, so most are only one-sixteenth inch up in size as you go. I could buy a new set with smaller graduations, but I"ve learned never to buy new tools just to try to jury-rig a really cheap accessory into working.
I have a good dremel, and a few tapered stones, but none of them would make a 3/4 hole. Maybe if I buy something new, that would be the cheapest thing to buy.
The scissors ideas is very appealing, but I don't think mine would make a 3/4 hole.
John, drilling successively larger holes works for me on hardwood, but my large bits seem to be really aggressive with a fast spin, so that have a bad habit of violently sucking my drill right into the materials with just one or two turns of the bit. Then, you can't back them out.
I'll let you folks know how this turns out.
If I was just dealing with a flat piece of plastic, I think all of the suggestions above would work well, but sadly, I have a sad little building. :-)
Thanks again,
Mannyrock